An approach to generating all efficient solutions for multiple objective programs with piecewise linear objective functions and linear constraints is presented. The approach is based on the decomposition of the feasible set into subsets, referred to as cells, so that the original problem reduces to
A non-linear utility theory with multiple objectives
β Scribed by W.K. Brauers
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 125 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1057-9214
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β¦ Synopsis
The aim of this paper is to make optimum several objectives at the same time which would enable a measurement of utility for several possible alternatives. The problem is solved if a strong or weak dominance exists between the alternatives, otherwise a set of incomparable alternatives would be present. Therefore, indifference curve analysis offers the outcome but as these indifference loci are difficult to determine only the characteristics of this analysis are maintained 6iz. decreasing marginal utility, non-linearity and even non-convexity. Indifference and reference point theory with the Minkowski min-max-metric only respond to these characteristics. Also the problem of generating alternatives during the process is taken into consideration.
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